Problem Solving

if PQ = 9 , QR = 15 , PR = 12
& SINCE PQ+ PR ≠QR
THEREFORE Points P,Q, R are :
A on the same stright line
B not on the stright line
C opposite
D parallel
E on different direction

THANKS

marmar29 wrote:if PQ = 9 , QR = 15 , PR = 12
& SINCE PQ+ PR ≠QR
THEREFORE Points P,Q, R are :
A on the same stright line
B not on the stright line
C opposite
D parallel
E on different direction

THANKS

Not A,B
IMO: D
Not sure though

marmar29 wrote:if PQ = 9 , QR = 15 , PR = 12
& SINCE PQ+ PR ≠QR
THEREFORE Points P,Q, R are :
A on the same stright line
B not on the stright line
C opposite
D parallel
E on different direction

THANKS

Hi!

This is a very strange question - did you make it up? You'll never see something in this format on the GMAT.

First, answer (D) makes no sense - points cannot be parallel (the concept of parallelism doesn't apply to points). Similarly with (E) - what does "on different direction" actually mean? There are no nonsensical answers on the GMAT.

The "answer" to the question is (B), since for the points to be on a straight line you'd have two of the distances sum to the third, e.g.:

PQ + QR = PR

or

PQ + PR = QR.

marmar29 wrote:if PQ = 9 , QR = 15 , PR = 12
& SINCE PQ+ PR ≠QR
THEREFORE Points P,Q, R are :
A on the same stright line
B not on the stright line
C opposite
D parallel
E on different direction

THANKS

For my money, this is weird, and ill-formulated question.

Well, one possibility is that the three points may be vertices of a right triangle; they may even be on a circle. From all we can tell, they are not on the same straight line. So A is out. Whereas, since B doesn't say 'the same straight line', it is possible. It is difficult to comprehend what it means,(I mean, no idea whether the points shall be treated independently). D is out as points can't be parallel; it is rather line that can be parallel. Nor is E appropriate.

It, by no means, is a GMAT question. Is it?